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Finding the Third Proportional to 39,152 and 72,014

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Solution

The third proportional to 39,152 and 72,014 is: 132,458.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,152 : 72,014 = 72,014 : x
  2. Step 2: Convert to fraction form
    39,152/72,014 = 72,014/x
  3. Step 3: Cross multiply
    39,152x = 72,014 × 72,014
  4. Step 4: Simplify right side
    39,152x = 5,186,016,196
  5. Step 5: Solve for x
    x = 5,186,016,196/39,152
  6. Step 6: Final answer
    x = 132,458.53

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.